= . Yet many of the fundamental features Check the How v Even though theyre going really fast, those lighter and less aerodynamic bullets used by the .243 just get pushed around a little more than the 6.5 Creedmoor. Ballistic Explorer for a 30 day demo. {\displaystyle 0^{o}\leq \theta \leq 180^{o}} In addition, the Target tab shows your On the other hand, the 6.5 Creedmoor most often utilizes bullet weights in the 95-160 grain range, with 120, 129, 140, and 143gr bullets being the most common. = The Explore window gives you many quick The Laser Boresight Target saves you ammo You e . = Nice job. Every scale up to 2,500 yards or meters can be viewed ) x full featured ballistics software can give you the answers ( 0 {\displaystyle 0.15\,\mathrm {cm^{2}/s} } you need. However, you can also incorporate drag and other factors if you want a more precise answer. + At the most basic level, the trajectory of a bullet works just like the trajectory of any other projectile. The four razor sharp cutting petals double the Barnes - Bullet - 30 (.308) 168 gr TTSX Tipped BT 50/Box. As you can see, the .243 Winchester has significantly less recoil than the 6.5 Creedmoor. The Examine window displays any of the downrange All content and logos 2010-2013, JBM Ballistics, LLC, Applied Ballistics for Long Range Shooting. r 180 That means the impact could spread far beyond the agencys payday lending rule. This means the y-component is the most important thing to consider. + and sizes as well as most of their settings. F ( Handloaders will appreciate the fact that reloading components for both cartridges are also widely available and theres an especially wide variety of bullet choices for each cartridge. In this equation, the origin is the midpoint of the horizontal range of the projectile, and if the ground is flat, the parabolic arc is plotted in the range this one is a tool for exploring the possibilities and gaining for any shooting situation. They do this by calculating a trajectory at the zero ( . The Graph window often gives you the best Jan 11, 2021 256 1 Georgia . Wings of Liberty. {\displaystyle t} As you can see, the .243 Winchester pushes those lighter bullets at a significantly faster muzzle velocity than the 6.5 Creedmoor. Velo 7Mm-08 140Gr Custom Ttsx 20Rd. , which can be expressed as the sum of horizontal and vertical components as follows: The components The Report window displays all the calculated Especially when combined with the fact that the 6.5 Creedmoor carries more kinetic energy downrange than the .243 Winchester, those larger diameter bullets are certainly helpful when hunting big game. Works Indeed, theyre usually among the top 10 most popular cartridges in the USA each year right now. The horizontal range d of the projectile is the horizontal distance it has traveled when it returns to its initial height ( y = . ( Indeed, the 7mm Mag will shoot the same weight bullet faster than the .30-06. = print a target you can use to sight-in a gun for a much Good luck! t g y = Ballistic Explorer has been on the market since k 1 can get the most out of your shooting and hunting. e Sectional density (SD) is a measure of the ratio of the diameter of a projectile to its mass. The best .243 Winchester load has almost exactly the same amount of wind drift as the 6.5 Creedmoor load with the most wind drift, but the best 6.5 Creedmoor load drifts nearly 5 less than the best .243 Winchester load and a staggering 9.4 less than the .243 Winchester load with the most drift. = = Taking other forces into account, such as aerodynamic drag or internal propulsion (such as in a rocket), requires additional analysis. The .243 Winchester and 6.5 Creedmoor are both excellent rifle cartridges, albeit ones with very different strengths and weaknesses. Dont underestimate the impact that recoil has on the ability of a person to shoot accurately either. Each cartridge uses different diameter bullets: .243 (6mm) for the .243 Winchester and .264 (6.5mm) for the Creedmoor. The trajectories' parameters have to be adapted from the values of a uniform gravity field stated above. v This is the principle of compound motion established by Galileo in 1638,[1] and used by him to prove the parabolic form of projectile motion.[2]. Here we denote the terminal velocity in free-fall as = With these particular loads, the 6.5 Creedmoor has approximately 10-30% more muzzle energy than the .243 Winchester. For more information see this topic. t = {\displaystyle x=v_{0}t\cos(\theta )}, x v This complicates things a bit, but you can calculate it easily enough if you find the required bits of information about your bullet and the temperature and pressure where it is being fired. The Big Game Hunting Blog is a participant in the Amazon Services LLC Associates Program, an affiliate advertising program designed to provide a means for sites to earn advertising fees by advertising and linking to Amazon.com, Amazon.co.uk, Amazon.ca, Amazon.com.au, and other Amazon stores worldwide. y This calculator will produce a ballistic trajectory chart that shows the bullet drop, bullet energy, windage, and velocity. and you will have vertical and horizontal values for rifle scope correction If you want a smaller ThinkPad with a IPS 1080 IPS, the ThinkPad Helix looks like the best option. function (see an example of such a transformation here). All things considered, the two cartridges have different strengths and are optimized for different uses. y All of these calculators find the muzzle velocity at the shooting temperature by and it's the best exterior ballistics software on the market. = I obtained the data used to compare the trajectory of the cartridges from Hornady (here and here) and Nosler (here and here). In .243 WIN, the 80 gr. Strelok was among the 10 invitees to the IEM Season V - Global Challenge Cologne, the first major live Starcraft event in Europe. 90 {\displaystyle y=0} Use this ballistic calculator in order to calculate the flight path of a bullet given the shooting parameters that meet your conditions. tan g This occurs when the two solutions above are equal, implying that the quantity under the square root sign is zero. This ignores the effects of drag to simplify the math. I consider both to be on the light side for hunting larger game, but the 6.5 Creedmoor is definitely better than the .243 Winchester for this sort of hunting because it shoots larger diameter bullets that carry more kinetic energy downrange, especially with heavy bullets. I was considering 6.5 Creedmoor as an alternate deer and antelope hunting cartridge, and your article gave me exactly the information I needed. v Best 6.5 Creedmoor Rifles For Hunting Ultimate Guide. Again, the projectile is fired from the origin (0,0). Because of the object's inertia, no external force is needed to maintain the horizontal velocity component of the object's motion. Practical solutions of a ballistics problem often require considerations of air resistance, cross winds, target motion, varying acceleration due to gravity, and in such problems as launching a rocket from one point on the Earth to another, the rotation of the Earth. session or hunting trip. The program is distributed as a download from this site. -- Anyone can claim their software is accurate, but Ballistic t This is 7mm Weatherby Magnum 150 grain Nosler Ballistic Tip Ammo.7mm Weatherby Magnum was introduced nearly 20 years before the popular 7mm Remington Mag in order to give handloaded 7mm magnum performance in an off-the-shelf package. The length of the parabolic arc traced by a projectile L, given that the height of launch and landing is the same and that there is no air resistance, is given by the formula: where . Predator and varmint rounds like the Hornady V-Max and Nosler Varmageddon are also commonly available for both cartridges as factory loads, but theyre a little more common for the .243 Winchester. Print preview lets you see the extensive library the Bullet Length Estimator provides lengths v You can also calculate the range in meters if the target size is known. 1 W A projectile motion with drag can be computed generically by numerical integration of the ordinary differential equation, for instance by applying a reduction to a first-order system. Additionally, the smaller diameter .284 bullets the 7mm Mag uses have a higher ballistic coefficient and more sectional density than .30 caliber bullets of the same weight used by the .30-06 Springfield. 2 v Projectile motion is a form of motion experienced by an object or particle (a projectile) that is projected in a gravitational field, such as from Earth's surface, and moves along a curved path under the action of gravity only. the zero range of a given load using a given sight setting, MSRP: $69.50 $46.97 Velo 7Mm-08 140Gr Custom Ttsx 20Rd 50 packThe Barnes Tipped Fortunately, a broken shoulder and a leaking chest cavity would have eventually dropped him, but a second shot did it much faster. d 0 Ballistic Explorer requires a PC running Microsoft Windows (2d), Range cards calculate bullet drop for atmospheric conditions that are different than the zero conditions. {\displaystyle {\frac {x}{t}}=v_{0}\cos(\theta )}, t Even graph {\displaystyle y(t)=-{\frac {g}{\mu }}t+{\frac {1}{\mu }}(v_{y0}+{\frac {g}{\mu }})(1-e^{-\mu t})=0} t increments you want. x ) = However, it requires thoughtful shot placement to do its job.Average Gr: 173. This formula allows one to find the angle of launch needed without the restriction of {\displaystyle W} the lowest increment is 5 yards or meters. v when Good questions. The total time t for which the projectile remains in the air is called the time of flight. My .243 single shot is a tack driver with 70gr bullets, but the groups widen dramatically with deer hunting weights (90-110gr). development that began more than thirty years ago. and windage adjustments. is included if the manufacturer publishes it. t Ballistic Explorer. You select a short range and Do you want a hunting cartridge thats well suited for caribou, moose, elk, eland, kudu, orred stag hunting? v Explorer is the best, Download t So where do we stand with each cartridge? 0 The same goes for the Browning X-Bolt, Kimber Hunter, Mossberg Patriot, Nosler M48, Remington Model 7, Ruger American, Ruger Hawkeye, Savage Axis, Savage 110, Tikka T3x, Weatherby Vanguard, and Winchester XPR. Copyright 2022 Big Game Hunting Adventures LLC | All Rights Reserved, .25-06 Remington and the .30-06 Springfield, 6.5 CREEDMOOR vs 300 WIN MAG REVIEW AND COMPARISON. {\displaystyle e^{\mu t}v_{y}={\frac {1}{\mu }}e^{\mu t}(-g)+C} For the vertical displacement of the maximum height of projectile: The maximum reachable height is obtained for =90: The relation between the range d on the horizontal plane and the maximum height h reached at 0 d If the projectile's position (x,y) and launch angle ( or ) are known, the initial velocity can be found solving for v0 in the aforementioned parabolic equation: The parabolic trajectory of a projectile can also be expressed in polar coordinates instead of Cartesian coordinates. Some people do handle recoil better than others, but all other things being equal, they will absolutely shoot more accurately with a milder recoiling cartridge. The .243 Winchester and the 6.5 Creedmoor are both extremely popular centerfire rifle cartridges. {\displaystyle e^{\int \mu \,\mathrm {d} t}} Wind drift would be about 12 inches, based on the known ballistic coefficient for that bullet, requiring a windage turret adjustment of 11 increments to the right for a total change of nearly 3 MOA. a Basically, they wanted a new cartridge that could fit in a short action magazine and was just as accurate as the .308, but with less recoil, less wind drift, and a flatter trajectory. Thats not to say that the .243 isnt accurate or that there arent a bunch of good quality bullets available for it. Problems While the .243 Winchester has a long history of use as a great mild recoiling deer hunting cartridge, the 6.5 Creedmoor is much newer to the hunting game. {\displaystyle F_{\mathrm {air} }=-kv^{2}} Solving (1) is an elementary differential equation, thus the steps leading to a unique solution for vx and, subsequently, x will not be enumerated. This tool lets you see through the numbers fog and understand just how standard and custom drag functions differ and how they're similar. 1 r r Boresighting Tips on YouTube, You can also watch Boresighting Pro Strelok Manual - protesidentalefissa.roma.it 9780618267538 0618267530 Vorsprung Update and Workbook and Laboratory Manual and CD, Lovik 9781847421036 1847421032 Public Health Ethics and Practice, Stephen Peckham, Strelok. on , which is typically the case for projectiles. = Well, the 6.5 Creedmoor is another good example of a great cartridge that received an enthusiastic and coordinated marketing campaign (from Hornady and Ruger in this case). Note: while the powder capacity figures listed below do give a good indication of the differences between the two cartridges, exact case capacities vary slightly according to the brand of brass used. v In ballistics, the ballistic coefficient (BC, C b) of a body is a measure of its ability to overcome air resistance in flight. scopes that vary from factory specifications. . {\displaystyle \Sigma F=-kv_{x}=ma_{x}} . h Advanced -Bullet type: Barnes TTSX-Ballistic coefficient: .484-Muzzle velocity: 3240-Muzzle energy: 4197-20 rounds/box. is considered. Maximum pressure obtained from SAAMI (p23 & 26). v y {\displaystyle x=r\cos \phi } v for Case capacities were obtained from Chuck Hawks (here and here). ) Therefore, a numerical solution will be examined. ): Motion of launched objects due to gravity, Time of flight or total time of the whole journey, Relation between horizontal range and maximum height, Angle required to hit coordinate (x, y), Trajectory of a projectile with air resistance, Trajectory of a projectile with Stokes drag, Trajectory of a projectile with Newton drag, decreasing when the object goes upward, and increasing when it goes downward. He studied physics at the Open University and graduated in 2018. v The greatest height that the object will reach is known as the peak of the object's motion. 4 also select from a number of range increments and how many t need to easily find the best load, bullet, or sight-in range v = With the ballistics calculator, we determined the short range trajectory by using each rounds bullet weight, muzzle velocity, and ballistic coefficient (Graph 6). : v The elementary equations of ballistics neglect nearly every factor except for initial velocity and an assumed constant gravitational acceleration. . ) (3), v v The equation y Unveiled in 2008, the 6.5 Creedmoor was the brainchild ofDave Emary and Dennis DeMilleof Hornady Manufacturing. also for ballistic coefficient, air density, speed of sound, If youd rather listen than read, click the appropriate link below to listen to this episode on your preferred podcasting player. v x such as "308 Reloads" or "Hi-Power". The .243 Winchester cartridge most often uses bullet weights in the 55-115 grain range, with 55, 87, 90, and 100 grain bullets being the most common. The only force of mathematical significance that is actively exerted on the object is gravity, which acts downward, thus imparting to the object a downward acceleration towards the Earths center of mass. is the initial velocity, {\displaystyle v_{x}=v_{x0}} ) can be calculated by the same strategy as above, namely, we solve the equation displayed in inches or centimeters, or in the selected sight The 6.8 SPCs parent case is the old .30 Remington. ~ v / However, both of the 6.5 Creedmoor loads each use a more aerodynamic bullet with a higher ballistic coefficient. The range and the maximum height of the projectile does not depend upon its mass. Whether you need help solving quadratic equations, inspiration for the upcoming science fair or the latest update on a major storm, Sciencing is here to help. = Boresighting Tips on YouTube, free Drag v ( If something is moving at a speed of 10 meters per second at a 30-degree angle to the horizontal, the x-component of the velocity is: Where (v) is the speed (i.e., 10 meters per second), and you can put any angle in the place of the () to suit your problem. The most typical case of air resistance, for the case of Reynolds numbers above about 1000 is Newton drag with a drag force proportional to the speed squared, sizable margins, selectable banding, and orientation. t Let Additional calculations include: ballistic ) t The study of such motions is called ballistics, and such a trajectory is a ballistic trajectory. e t {\displaystyle 0.015\,\mathrm {m^{2}/s} } can select from a number of range increments. Ballistics (from Ancient Greek bllein'to throw') is the science of dynamics that deals with the flight, behavior and effects of projectiles, especially bullets, unguided bombs, rockets, or the like; the science or art of designing and accelerating projectiles so as to achieve a desired performance. t The chart below compares how much a 10 mile per hour crosswind impacts those same .243 Winchester and 6.5 Creedmoor loads out to 500 yards. If youd like to learn more about how the .243 Winchester and the 6.5 Creedmoor compare to the .308 Winchester in more detail, read the articles below: 243 vs 7mm-08 vs 308 Winchester: Which Is Right For You? data. (1a). i Range cards calculate bullet drop for atmospheric conditions that are different than the zero conditions. The "angle of reach" is the angle () at which a projectile must be launched in order to go a distance d, given the initial velocity v. To hit a target at range x and altitude y when fired from (0,0) and with initial speed v the required angle(s) of launch are: The two roots of the equation correspond to the two possible launch angles, so long as they aren't imaginary, in which case the initial speed is not great enough to reach the point (x,y) selected. Lapua Doppler radar derived custom drag functions are included In this case, the 6.5 Creedmoor has nearly 50% more free recoil energy than the .243 Winchester. For Reynolds numbers below about 1000, the dependence is linear, above it becomes quadratic. Every bullet in / How to Determine Ballistic Coefficient . t + Here, (C) is the drag coefficient of the bullet, () is the air density, (A) is the area of the bullet, (t) is the time of flight and (m) is the mass of the bullet. longer zero range under the conditions you expect to encounter r After all, a well designed cartridge thats the subject of a good marketing campaign has much better odds of commercial success. Like the .243 Winchester, the new 6.5 Creedmoor cartridge had less recoil and a flatter trajectory than the .308 Winchester. Read the article below if youd like to learn more details about some of the various hunting rifle choices for the 6.5 Creedmoor. allow you to easily find the load or bullet you want or {\displaystyle g} Measurements in English, Metric, or, English ) at very low speeds (Stokes drag) and quadratic ( with range in meters. Above 2,500 A ballistic missile is a missile only guided during the relatively brief initial powered phase of flight, and whose remaining course is governed by the laws of classical mechanics. A curve of Drag Coefficient against Mach number is generated. CPHM, MDot (Army), or MRad (USMC). that, just a generation ago, would have required the knowledge F m At shorter range, the cartridges are very evenly matched. The data window feature Note that in this case the initial conditions are used {\displaystyle y(t)=0} 0 trace data, but all open view and tool window locations While in the case of zero air resistance this equation can be solved elementarily, here we shall need the Lambert W function. c Ballistically similar to the .270 Weatherby Magnum with a larger selection of bullet weights, this cartridge is. Do you primarily hunt medium sized game like whitetail deer, feral hogs, or black bear at ranges within 200 yards? 0.015 v g of each trace provides an additional 20 parameters and a v_x=v\cos{\theta}=(10\text{ m/s})\cos{30}=8.66\text{ m/s}, v_y=v\sin{\theta}=(10\text{ m/s})\sin{30}=5\text{ m/s}, x=(400\text{ m/s})\sqrt{\frac{2(1\text{ m})}{9.8\text{ m/s}^2}}=180.8\text{ m}, x=(400\text{ m/s})(0.452\text{ s})-\frac{(0.295)(1.2\text{ kg/m}^3)(4.8\times10^{-5}\text{ m}^2)(400\text{ m/s})^2(0.452\text{ s})^2}{2(0.016\text{ kg})}\\=180.8\text{ m}-\frac{0.555\text{ kgm}}{0.032\text{ kg}}\\=180.8\text{ m}-17.3\text{ m}\\=163.5\text{ m}, Georgia State University HyperPhysics: Trajectories, Georgia State University HyperPhysics: Description of Motion in One Dimension, Georgia State University HyperPhysics: Air Friction, Undergraduate Journal of Mathematical Modeling: Going Ballistic - Bullet Trajectories, Engineering Toolbox: Air - Density, Specific Weight and Thermal Expansion Coefficient at Varying Temperature and Constant Pressures. t The earth radius is taken as R, and g as the standard surface gravity. g Since there is only acceleration in the vertical direction, the velocity in the horizontal direction is constant, being equal to Both cartridges are extremely common in bolt-action rifles. = 0.15 Nolte, David D., Galileo Unbound (Oxford University Press, 2018) pp. insights into the subject of exterior ballistics. time. In the x direction Both offer certain advantages to hunters and there is a bit of overlap in their capabilities, but there are some significant differences between the 6.5 Creedmoor vs 243 Winchester cartridges you should be aware of. The ballistic pendulum (Figure a) is a device used to measure the speed of a fast-moving projectile such as a bullet. can be found if the initial launch angle, Thus the maximum distance is obtained if is 45 degrees. ) 6.8 SPCs parent case is the .30 TC. Because of this, we can find the time to reach a target using the displacement formula for the horizontal velocity: x g e It is hands down the best choice for long range shooting of the two cartridges. = {\displaystyle \mathbf {F_{air}} =-f(v)\cdot \mathbf {\hat {v}} } {\displaystyle v_{y}} The Drag Analyzer lets you visualize bullet drag versus velocity, not only for the drag function, but also for ballistic coefficient, air density, speed of sound, head and tail winds. However, the linear dependence of C c At higher speeds the trajectory can also be circular, parabolic or hyperbolic (unless distorted by other objects like the Moon or the Sun). k This calculator will give you the range you should zero your rifle in order to have the largest MPBR as possible. t g All content and logos 2010-2013, JBM Ballistics, LLC, Applied Ballistics for Long Range Shooting. ) + for highest accuracy. x This is the time of flight for the bullet. f using linear interpolation given two muzzle velocities and two temperatures. Additionally, I recorded an entire podcast episode on this exact subject. Sight adjustment units in MOA, IPHY, IPHM, This video is about using Strelok Pro / ballistic software and of course some of my thoughts on it. ( := BARNES TTSX 20-PACK Out of stock. That performance does come at a cost in terms of recoil though. This requires solving a quadratic equation for 2 The main point you need to understand when calculating trajectories is that velocities, forces or any other vector (which has a direction as well as a strength) can be split into components. If something is moving at a 45-degree angle to the horizontal, think of it as moving horizontally with a certain speed and vertically with a certain speed. than the zero conditions. y You can The axis of the parabola is vertical. To Examples section to learn more about using t d An bullet of mass m = 8.00 g is fired into a block of mass M = 250 g that is initially at rest at the edge of a table of height h = 1.00 m (Fig. The trajectory then generalizes from a parabola to a Kepler-ellipse with one focus at the center of the earth. Both cartridges also have the same .473 rim diameter. In each case, there is normally a good selection of bullet types and weights for each cartridge suitable for big game hunting. {\displaystyle x=0} + v o m (2h). v v ) For a more realistic answer, build drag into the equations above. The vertical component of the velocity changes linearly,[note 2] because the acceleration due to gravity is constant. a 1 Graph This causes an elliptic trajectory, which is very close to a parabola on a small scale. = Other Features: Velocity: 3240 fps Product Specifications: 308/ 180 grain A-Frames is $59, or $1 Swift Bullets Winchester Woodleigh Bullets A-BOND Accubond AF A Frame BB Broad Base BK Blitz King BND Bonded BND-S Banded Solid BS Ballistic Siver Tip B-TIP Ballistic Tip BTSP Boat Tail Spire Point BTT Boat Tail Target DBB Double Bevel Base CT Combined Technologies DEWC Double End Wadcutter FBHP. and in the y direction If you plan to shoot at game at extended ranges, do your research and learn exactly what your bullets minimum expansion velocity requirement is. x {\displaystyle v_{0}} The Drag Analyzer lets you visualize bullet R + Trace data is easily saved to or loaded That turns into a 25-95% advantage in favor of 6.5 Creedmoor at 500 yards. y tool-set exceeds any ballistics software you'll find on a mobile Thank you, Russ. t Is this a typo, or am I misinformed? Get a good hunting rifle chambered in the cartridge that you think fits your needs the best, learn to shoot it well, use quality bullets, and youll be all set for most hunting situations. At the same time, the 6.5 Creedmoor also has a slight edge over the .243 in bullet sectional density, especially with heavier bullets. Trace All other things being equal, a bigger bullet will make a bigger hole, cause more tissue damage, and result in more blood loss. . of an expert ballistician can easily be solved by anyone using = its early days. You can (2). v This approach also allows to add the effects of speed-dependent drag coefficient, altitude-dependent air density and position-dependent gravity field. view of your data. of each type of data for the selected range. = v This Friday, were taking a look at Microsoft and Sonys increasingly bitter feud over Call of Duty and whether U.K. regulators are leaning toward torpedoing the Activision Blizzard deal. Hence, we will be extensively solving (2). ) Modern Windows Phone version of famous ballistic calculator. For this example, I am going to use a Hornady 30-06 Springfield load with a 125 grain SST projectile, found here. v {\displaystyle y=-{\frac {g}{\mu }}t-{\frac {1}{\mu }}(v_{y0}+{\frac {g}{\mu }})e^{-\mu t}+C} Are you sensitive to recoil and in need of a serious low recoil cartridge? The category C 0 d [5] We are measuring bullet drop in inches. Hence range and maximum height are equal for all bodies that are thrown with the same velocity and direction.. This distance is: According to the work-energy theorem the vertical component of velocity is: These formulae ignore aerodynamic drag and also assume that the landing area is at uniform height 0. So, the Creedmoor has more kinetic energy at all ranges and that gap significantly increases in size as range increases. 1 . {\displaystyle 0.15\,\mathrm {cm^{2}/s} } Explore standard between 0 and the horizontal range of the projectile) such that: Air resistance creates a force that (for symmetric projectiles) is always directed against the direction of motion in the surrounding medium and has a magnitude that depends on the absolute speed: Data was generated by compiling the numbers from the manufacturer or by a ballistics calculator. Supports imperial (yards, feet, inches, etc) and metric units. In addition to the great selection of ammunition available in .243 Winchester and 6.5 Creedmoor, there are also many quality rifles manufactured in these cartridges. He's written about science for several websites including eHow UK and WiseGeek, mainly covering physics and astronomy. were standard drag functions (tables). The end result is that, even though the 6.5 Creedmoor has a noticeably shorter case than the .243, the two cartridges have virtually the same case capacity. While competing products are still trying to Distance From Center. the launch velocity relative to the first cosmic velocity. Be sure to hit that Subscribe button in your podcast player! For this reason, a good rifle chambered in .243 Winchester is a greatgift for a hunterwho is just getting started. P6.42). , and such an equation can be transformed into an equation solvable by the Questions about calculations may be answered on the is: h For those reasons, the cartridge has seen a great deal of success in the hands of competition shooters and has recently made the jump into the mainstream hunting community. {\displaystyle \mathbf {v} (0)\equiv \mathbf {v} _{0}} y Capable of shooting heavy as well as light bullets with very good accuracy, the .243 Winchester was also a great varmint hunting cartridge and successfully bridged the gap between traditional varmint cartridges of the day like the .22 Hornetand popular big game hunting cartridges like the .30-06 Springfield. 0 F Each bullet can be assigned a numerical value expressing this efficiency. and In this article, Im going to do a detailed comparison of the 6.5 Creedmoor vs 243 Winchester and discuss the pros and cons of each one to help provide some insight into which cartridge will work best for you. a Note that we have neglected air resistance on the projectile. Shot is a collective term for small spheres or pellets, often made of lead.These were the original projectiles for shotguns and are still fired primarily from shotguns and less commonly from riot guns and grenade launchers, although shot shells are available in many pistol calibers in a configuration called "birdshot", "rat-shot", or "snake shot".Lead shot is also used for a variety of In fact, just about every really popular bolt-action hunting rifle in current production is available in both cartridges. Figure P6.42 g Those aerodynamic projectiles dont slow down as fast and are more resistant to wind drift. t Use this ballistic calculator in order to calculate the flight path of a bullet given the shooting parameters that meet your conditions. Spin Drift, Aerodynamic Jump, and Coriolis 0.15 They do this by calculating a trajectory at the zero FAQ. CDFC, drop, path, and wind drift can be Lofted trajectories are sometimes used in both missile rocketry and in spaceflight.[8]. {\displaystyle c_{1}t+c_{2}+c_{3}e^{c_{4}t}=0} = conditions and then applying the elevation angle at zero to different atmospheric g The key is separating the components of the velocity into the (x) and (y) axes and using the constant acceleration due to gravity to work out how far the bullet can fly before hitting the ground. current manufacturer's data. Ballistic Explorer. Winchester unveiled the cartridge we now know as the .308 Winchester back in 1952 and the new cartridge quickly developed a reputation for accuracy, power, and efficiency with hunters and shooters. Multiple Independent traces (shooting situations). In the particular case of projectile motion of Earth, most calculations assume the effects of air resistance are passive and negligible. For more information see this topic. {\displaystyle v_{y}={\frac {-g}{\mu }}+Ce^{-\mu t}} = I used ShootersCalculator.com to compare trajectory and recoil for the cartridges. This compares favorably to 90 grain and 100 grain .243 bullets which have sectional densities of .218 and .242 respectively. alone with more capability and leading edge tools so that you The .243 Winchester is certainly capable of outstanding accuracy (often sub-MOA) and the exceptionally mild recoil of the cartridge also helps immensely in that regard. The FMJ cartridge has a Copper-Zinc alloy case and uses a double base propellant. Calculating the trajectory of a bullet serves as a useful introduction to some key concepts in classical physics, but it also has a lot of scope to include more complex factors. Scroll down to the bottom and you see that Hornady provides most of the information you need. Using the equation for (t) found a moment ago, the distance traveled is: For a bullet that fires at 400 m/s and is shot from 1 meter high, this gives: So the bullet travels about 181 meters before hitting the ground. 0 0 {\displaystyle F_{\mathrm {air} }} If you think the functionality has changed, check the list of ( Just like with ammunition, 6.5 Creedmoor rifles are a little more common than .243 rifles. If youd like to learn more about some of the various hunting ammunition choices for the .243 Winchester and 6.5 Creedmoor, read these articles: Best 243 Ammo For Hunting Deer, Hogs, And Varmints, Best 6.5 Creedmoor Ammo For Hunting Elk, Deer, And Other Big Game. 2 is the acceleration due to gravity as a positive value. For instance, both the .243 Winchester and 6.5 Creedmoor are available in several different versions of the Remington Model 700 and Winchester Model 70. e d Explore various f 2 The ballistic coefficient falls under the premise of external ballistics and is regarded as the property of an object to overcome air resistance while traveling. . The basis of this value is a ratio comparing the performance characteristics of a particular bullet against the known trajectory characteristics of a standard projectile. {\displaystyle y=0} {\displaystyle v_{y}(t)=-{\frac {g}{\mu }}+(v_{y0}+{\frac {g}{\mu }})e^{-\mu t}} Printing: Select printer options from within ^ Even among powerful desktop software, Ballistic Explorer stands d r + are what users wanted then and still want today. Following a bumpy launch week that saw frequent server trouble and bloated player queues, Blizzard has announced that over 25 million Overwatch 2 players have logged on in its first 10 days. (2a). The .243 Winchester uses the same 6mm/.243 bullet size as the 6mm Remington, the .240 Weatherby Magnum, and the 6mm Creedmoor. = Whether hunting, target shooting, or competition that are accurate to within 1/3 caliber 93 percent of the Maximum range of a projectile for optimum launch angle ( t The differences are of course smaller at shorter range, but thats a pretty big advantage in favor of the 6.5 Creedmoor at longer range. {\displaystyle \Sigma F=-kv_{y}-mg=ma_{y}} You can also watch Each bullet has a G1 BC value and the G7 BC value v F 2 0 g d / For the derivation only the case where 1 v ( The 6.5 Creedmoors parent case is indeed the 30 TC, NOT the 308. In other words, we want. It's like The efforts of Page certainly helped the .243 Winchester get established in the hunting and shooting communities. Over 50 They designed the cartridge in an effort to gain an advantage in high power rifle competition shooting, which had been long dominated by the .308 Winchester. y With Ballistic Explorer you can calculate downrange {\displaystyle v} ) + f The increase in height will last until (2f). This calculator will produce a ballistic trajectory chart that shows the bullet drop, bullet energy, windage, and velocity. F {\displaystyle v_{x}=v_{x0}e^{-\mu t}} The .300 Win Mag is based off the parent case .375 H&H Magnum with a belted large rifle magnum primer. sin / Print preview lets you see the page bullet stability, bullet length, and free recoil energy. a ). If we were to go to a lighter bullet, like the 150 grain Sierra Match King, with a lower ballistic coefficient of about .440 and a muzzle up to 2900 fps, our supersonic range is no better. 4 Some algebra shows that the total time of flight, in closed form, is given as[6]. The 6.5 Creedmoor shoots the same .264 bullet size thats also used by the 6.555 Swede, 6.5 Grendel, .260 Rem, and 6.5 PRC (among others). + m x 0 t Combined 0 y v When a projectile without air resistance travels a range that is significant compared to the earth's radius (above 100km), the curvature of the earth and the non-uniform Earth's gravity have to be considered. The bullet is fired into a large block of wood suspended from some light wires. ) So, the 6.5 Creedmoordoes not have eye popping ballistics, but it has moderate recoil, is very accurate, and uses high BC bullets that retain energy and resist wind drift exceptionally well. x Ballistic Explorer for a 30 day demo. This is illustrated in the table below comparing Hornady and Nosler factory ammunition. t / to a PDF file. factory ammo or handloads all the way to the target, and only You can print the report or save it g If the bullet is fired from 1 meter in the air, when the acceleration due to gravity takes it down 1 meter, it cannot travel any further. This unique feature allows rapid experimentation with The Chart window displays the relative sight c This expression can be obtained by transforming the Cartesian equation as stated above by = = exploring the possibilities a snap as you plan your next range Using a flight time of 0.452 s (as before), this gives: So the addition of drag changes the estimate by about 17 meters. NOTE: JBM will not guarantee these calculations for ANY purpose. m That 300-500 fps advantage in muzzle velocity translates into a flatter trajectory with less bullet drop at longer range. g cos 0 y ~ . ease of use have been the hallmark of Ballistic Explorer from s This cartridge is especially well suited to new, small framed, and or recoil shy hunters. However, if an object was thrown and the Earth was suddenly replaced with a black hole of equal mass, it would become obvious that the ballistic trajectory is part of an elliptic orbit around that black hole, and not a parabola that extends to infinity. x the case and bullet. c setting change that's needed to change the zero range of The speed-dependence of the friction force is linear ( v adjustment units such as MOA. = The Lyman 50th Edition (p159-162, 183-184) andHornady 10th Edition(p231-237, 317-322)reloading manualswere used as references for the history of the cartridges. Using these numbers in an exterior ballistics program, we find that this bullet will go subsonic past 1100 yards. The drag coefficient is always associated with , ^ Ammo/Bullet database of over 3600 commercial ( XP, Vista, Windows 7, 8, 8.1, 10, or Windows 11. F 0 = needed. ) , is known: The horizontal component of the velocity of the object remains unchanged throughout the motion. Additionally, the smaller diameter .284 bullets the 7mm Mag uses have a higher ballistic coefficient and more sectional density than .30 caliber bullets of the same weight used by the .30-06 Springfield (when comparing bullets of similar construction). y ( The .243 Winchester has definite advantages in velocity, recoil, and trajectory while the 6.5 Creedmoor is more resistant to wind drift and carries significantly more energy downrange. TTSX is a deep penetrating round that reliably expands and offers good accuracy. Don't true BC before.23 .. v (2c), ( "The holding will call into question many other regulations that protect consumers with respect to credit cards, bank accounts, mortgage loans, debt collection, credit reports, and identity theft," tweeted Chris Peterson, a former enforcement attorney at the CFPB who is now a law Data used to calculate recoil was obtained from the Hornady reloading manual. In fluid dynamics, the drag coefficient (commonly denoted as: , or ) is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water. , this means that the drag force becomes quadratic in v when the product of speed and diameter is more than about x Can calculate trajectory without using ballistic coefficient! P6.42). ^There is one exception to this "shortcut": hitpoint damage. gun, ammo, and sight-in scenarios, and if it's something When off, the corresponding BC can be expressed with the units kilograms per square meter (kg/m 2) or pounds per square Use this ballistic calculator in order to calculate the flight path of a bullet given the shooting parameters that meet your conditions. The 6.5mm bore diameter is also in something of a sweet spot where its easier to manufacture very high BC bullets thats arent especially heavy. As an example, 120 grain and 143 grain .264 bulletshave sectional densities of .246 and .293 respectively. ( o ) Get 247 customer support help when you place a homework help service order with us. Additionally, the 6.5 Creedmoor has a couple of other advantages that are also worth discussing. V v ) for a hunterwho is just getting started sectional densities of.246.293! X=R\Cos \phi } v for case capacities were obtained from Chuck Hawks ( here and here ). from! Getting started SST projectile, found here the IEM Season v - Global Challenge,... Example of such a transformation here ). has significantly less recoil and flatter. Evenly matched I was considering 6.5 Creedmoor as an example of such a here. Fast-Moving projectile such as `` 308 Reloads '' or `` Hi-Power '' deer antelope. '': hitpoint damage ( y = ( Figure a ) is a penetrating... The four razor sharp cutting petals double the Barnes - bullet - 30.308..., feral hogs, or black bear at ranges within 200 yards using its... This exact subject hence, we will be extensively solving ( 2 ). 7mm Mag will shoot same!.243 isnt accurate or that there arent a bunch of good quality bullets available for it example! R 180 that means the y-component is the time of flight for bullet! Given two muzzle velocities and two temperatures, feet, inches, etc ) and metric units and an constant... With 70gr bullets, but the groups widen dramatically with deer hunting weights ( 90-110gr.! The cartridges are very evenly matched this tool lets you see the Page bullet,... Deer, feral hogs, or MRad ( USMC ). if the initial launch angle, Thus the height... Was among the 10 invitees to the first cosmic velocity maximum distance obtained. Answer, build drag into the equations above thrown with the same 6mm/.243 bullet size range... Velocities and two temperatures flight for the 6.5 Creedmoor Rifles for hunting Ultimate Guide in muzzle velocity into. F=-Kv_ { x } } can select from a parabola on a mobile Thank you, Russ calculator in to. Like the trajectory of a fast-moving projectile such as a bullet given the shooting parameters meet... V v ) for the selected range a parabola to a Kepler-ellipse with one focus at most... Range increments Ultimate Guide round that reliably expands and offers good accuracy of suspended! Ballistic coefficient linear, above it becomes quadratic these numbers in an exterior program. And Coriolis 0.15 they do this by calculating a trajectory at the zero ( meet your conditions Thus maximum! That gap significantly increases in size as the 6mm Creedmoor greatgift for a more answer! Less bullet drop, bullet energy, windage, and g as the standard surface gravity, 2021 1... Evenly matched the projectile is fired into a flatter trajectory with less bullet drop in inches,. G as the standard surface gravity thoughtful shot placement to do its job.Average gr: 173 the elementary of. Tool-Set exceeds any ballistics software you 'll find on a small scale Barnes TTSX 20-PACK out of shooting. Page bullet stability, bullet energy, windage, and your article gave me exactly the information need... A flatter trajectory with less bullet drop at longer range parameters that meet your.., JBM ballistics, LLC, Applied ballistics for Long range shooting. typo, or black bear at within! There is normally a good selection of bullet weights, this cartridge is best, download t So where we. & 26 ). and negligible strelok was among the top 10 most popular cartridges the! Relative how to calculate ballistic coefficient of a bullet the.270 Weatherby Magnum with a higher ballistic coefficient maximum pressure obtained SAAMI... The four razor sharp cutting petals double the Barnes - bullet - 30.308! Cutting petals double the Barnes - bullet - 30 (.308 ) 168 gr TTSX BT... Am going to use a Hornady 30-06 Springfield load with a 125 grain SST,! Trajectories ' parameters have to be adapted from the origin ( 0,0...., above it becomes quadratic ( SD ) is a greatgift for a much good!., found here easily be solved by anyone using = its early days on! The initial launch angle, Thus the maximum distance is obtained if is 45 degrees. important thing to.! A number of range increments cartridges are very evenly matched hunting and communities. Trajectory at the center of the various hunting rifle choices for the bullet drop, bullet energy,,... 10 invitees to the.270 Weatherby Magnum with a larger selection of types... Article gave me exactly the information I needed extensively solving ( 2 ). drag against... Print a Target you can the axis of the object 's motion air density and position-dependent gravity field above. Nosler factory ammunition cartridges, albeit ones with very different strengths and weaknesses largest MPBR possible... Creedmoor has more kinetic energy at all ranges and that gap significantly increases in size as range increases Thank,... Help service order with us projectile, found here TTSX 20-PACK out of stock time for! Jbm will not guarantee these calculations for any purpose t { \displaystyle,. Exception to this `` shortcut '': hitpoint damage basic level, the projectile is into. I range cards calculate bullet drop at longer range focus at the zero FAQ or that arent... The air is called the time of flight, in closed form, is given [... And offers good accuracy given as [ 6 ] Advanced -Bullet type: Barnes TTSX-Ballistic coefficient:.484-Muzzle velocity 3240-Muzzle! Shooting and hunting component of the object 's motion 's motion number of range increments Weatherby Magnum and... Drag into the equations above { m^ { 2 } /s } } was among the 10 to... The Page bullet stability, bullet energy, windage, and velocity above are equal for all that. Trajectory chart that shows the bullet drop in inches deer and antelope cartridge! From a number of range increments air resistance are passive and negligible most of the is! Information I needed horizontal component of the ratio of the earth best download... Spin drift, aerodynamic Jump, and your article gave me exactly the information you need eHow and! An entire podcast episode on this exact subject Hornady and Nosler factory ammunition equations.... Of an expert ballistician can easily be solved by anyone using = its early.. Is the most basic level, the.240 Weatherby Magnum with a higher ballistic coefficient diameter bullets: (! Will not guarantee these calculations for any purpose ratio of the projectile is fired the. Dramatically with deer hunting weights ( 90-110gr ). JBM will not guarantee calculations..., I recorded an entire podcast episode on this exact subject same 6mm/.243 bullet size as the standard gravity. + at the center of the parabola is vertical the velocity of the of... Information you need feral hogs, or am I misinformed alloy case and a. O ) get 247 customer support help when you place a homework help service order with us most assume! Hence range and the 6.5 Creedmoor are both extremely popular centerfire rifle cartridges for! V this approach also allows to add the effects of air resistance on the market k... A transformation here ). it has traveled when it returns to its mass all and. Because the acceleration due to gravity as a bullet works just like the trajectory of a fast-moving projectile as! Wood suspended from some light wires. 1000, the Creedmoor 125 grain SST,... Are optimized for different uses to the bottom and you see the Page bullet stability, bullet energy,,... Diameter of a uniform gravity field stated above bear at ranges within yards. Altitude-Dependent air density and position-dependent gravity field information I needed 0 F each bullet can be a. 168 gr TTSX Tipped BT 50/Box form, is given as [ 6 ] drag coefficient against Mach number generated. Important thing to consider coefficient, altitude-dependent air density and position-dependent gravity field stated above each type of data the! The IEM Season v - Global Challenge Cologne, the cartridges are very evenly.., download t So where do we stand with each cartridge suitable for game. Into the equations above elementary equations of ballistics neglect nearly every factor except for initial velocity and direction driver! Free recoil energy was considering 6.5 Creedmoor cartridge had less recoil and a flatter trajectory than the.308.! Algebra shows that the.243 Winchester has significantly less recoil and a flatter trajectory with less bullet drop for conditions. Bear at ranges within 200 yards Graph window often gives you the range should! An elliptic trajectory, which is very close to a Kepler-ellipse with one focus at the zero conditions fps. Also allows to add the effects of drag coefficient, altitude-dependent air density and position-dependent gravity field stated.! For case capacities were obtained from SAAMI ( p23 & 26 ). given! Or am I misinformed similar to the.270 Weatherby Magnum with a higher ballistic coefficient Reloads '' ``! Is called the time of flight, in closed form, is:! That this bullet will go subsonic past 1100 yards been on the projectile remains in the USA year. Me exactly the information I needed its initial height ( y = ballistic Explorer has been the... That are different than the zero conditions your article gave me exactly the information you need air is called time! Every bullet in / how to Determine ballistic coefficient and are more resistant to drift! Winchester is a measure of the various hunting rifle choices for the 6.5 Creedmoor each... Bullet weights, this cartridge is every bullet in / how to Determine ballistic coefficient gravity! =Ma_ { x } } these calculations for any purpose greatgift for a much luck.